arXiv:2304.13690 [math.NT]AbstractReferencesReviewsResources
Counting Ideals in Numerical Semigroups
Published 2023-04-26Version 1
We calculate the ideal generating function counting ideals in a numerical semigroup with respect to their codimension for numerical semigroups with embedding dimension $2$ and certain families of numerical semigroups with embedding dimension $3.$ We also show that the degree of the ideal generating function of a numerical semigroup is its Frobenius number.
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